Suppose θ ∈ (0, 4 ) is a solution of 4 cos θ − 3 sin θ = 1. Then cos θ is equal to:

JEE Main 2024 Mathematics question

Not in JEE Main syllabus

Suppose θ ∈ is a solution of 4 cos θ − 3 sin θ = 1. Then cos θ is equal to:

Answer: (A)

With t = tan(θ/2) the equation gives 4(1 − t²) − 6t = 1 + t², i.e. 5t² + 6t − 3 = 0, and the

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Question ID VK-011562